77617

Properties

Appears in sequences

• Second (lower) diagonal of partition triangle A047812.at n=19A007045
• Numerators of continued fraction convergents to sqrt(22).at n=11A041034
• Numerators of continued fraction convergents to sqrt(88).at n=11A041156
• Numerators of continued fraction convergents to sqrt(198).at n=3A041366
• Numerators of continued fraction convergents to sqrt(352).at n=7A041666
• Numerators of continued fraction convergents to sqrt(792).at n=3A042526
• Solutions k of the equation phi(k) = phi(k-1) + phi(k-2). Also known as Phibonacci numbers.at n=30A065557
• Primes of the form 2*p^2 - 1, where p is prime.at n=17A092057
• x-values in the solution to x^2 - 22*y^2 = 1.at n=2A114050
• Primes of the form 648*k^2 - 72*k + 1.at n=4A154511
• a(n) = 648*n^2 - 72*n + 1.at n=10A154514
• a(n) = 4802*n^2 + 196*n + 1.at n=3A157367
• a(n) = 388962*n^2 - 430416*n + 119071.at n=0A157732
• Primes p such that 2*p^5-+3 are also prime.at n=17A174368
• Primes of the form 2*p^k-1, where p is prime and k > 1.at n=28A178491
• Centered 16-gonal (or hexadecagonal) primes.at n=39A264823
• Primes p such that phi(p) = phi(p-2) + phi(p-1); Phibonacci primes.at n=23A266164
• Prime k with sigma(sigma(sigma(k))) < 3*k + 1.at n=24A320517
• a(2*n) = Sum_{k=0..n-1} binomial(2*n,k) binomial(2*n-1-k, n-1-k). a(2*n+1) = (Sum_{k=0..n} binomial(2*n+1,k) binomial(2*n-k, n-k)) - binomial(2*n-1, n).at n=12A359067
• Take the solution to Pellian equation x^2 - 8*n*y^2 = 1 with smallest positive y and x >= 0; sequence gives a(n) = x, or 1 if n is twice a positive square. A368339 gives values of y.at n=43A368340